Can AC sin (B/C) = B be Analytically Solved?

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Where A and C are constants. Is there any analytic to solve for B?
 
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There is no analytic solution. The problem can be simplified to be:
sin(x)/x=k, where x=B/C and k=1/A. When dealing with real values for x and k, |k|>1 has no solution.
 
That's what I suspected. Thanks for confirming.